There are a total of 122 collectibles (80 Lost Souls, 21 Keys, 21 Doors) in DmC: Devil May Cry. They are required to achieve 100% game completion. The keys are needed to open the doors and the doors will unlock new side missions. After finding a collectible it will immediately be saved and you can return to the main menu. There is no need to reach the next checkpoint. Some collectibles can only be reached by using certain abilities. Make sure to buy the "Leap" ability very early, it will come in handy.

IMPORTANT: You cannot get all collectibles on your first playthrough because certain weapons and abilities are required (which are unlocked automatically later in the game). After beating the game you can replay all missions in the main menu and get missing collectibles.

It's only the rain You Killed 10 enemies by pushing them into the Hurricane ride
Location: Mission 1 - Found
After walking past a lost soul you will come to an area with a big hurricane ride (some sort of carousel that is spinning in the air). The screen will say "Death" and 10 enemies will spawn. Lure the enemies below the hurricane ride and press Circle (PS3) / B (X360) to launch them into the air. They will die instantly if the hurricane ride hits them. Do this to all 10 enemies.

A man with guts and honor You reached the end of the descent on Mission 6 having killed all of the enemies
Location: Mission 6 - Secret Ingredient
Immediately after the mission starts you will have to reach the end of the descent within 2 minutes. It's recommended to attempt this trophy / achievement on human (easy) difficulty because enemies will die after just a few hits. There are a total of 10 enemies. Make sure to kill all of them and open the door at the end of the descent within the 2 minute limit.

Now my coat's all charred You navigated the Sky Bridge without hitting the lasers
Location: Mission 16 - The Plan
Towards the end of the 16th mission you will come to a corridor with several laser barriers. To get past them you need to vary your jump height and use your floating skill (L2+X on PS3 / LT+A on X360). For one barrier you must use the floating skill from the ground, without jumping. If you touch a barrier you can still restart the checkpoint and try it again.

Every hero has a weakness You completed Furnace of Souls without taking damage from the furnace
Location: Mission 17 - Furnance of Souls
During the entire 17th mission you may not be damaged by the fire that is emitted from the ground every 7 seconds. The fire can only damage you while you are in the air, so do your best to move between platforms very quickly. While standing on solid ground you are save. Restart the last checkpoint immediately if you fall down or are damaged by the fire. During the fight sequences make sure that you are not pushed into the fire by your enemies. The trophy / achievement will unlock after the mission is over.

And welcome to Hell! Completed all missions on Hell and Hell difficultyVergil is the final boss in DmC: Devil May Cry. Beating him on Hell and Hell difficulty will earn you the "And welcome to Hell!" trophy / achievement. You will die in one hit, but you have a total of 3 lives. You should beat the game on Dante Must Die first. This will unlock the "Super Dante" ability which gives you unlimited Devil Trigger. You will deal more damage against Vergil when Devil Trigger is active and his clone cannot attack you.

Vergil is very quick, but he will become vulnerable when attacking. Use Angel Evade a lot to dodge incoming attacks. Hit him with your sword whenever you have a chance. Using Osiris Shredder will break his defense and he will immediately start an attack. His most dangerous move is where he throws multiple blades in quick succession. You can either counter a blade to throw it back at him or jump in the air and use the glide ability. At the end of the fight you should make use of your shotgun. Jump around, use Angel Evade and attack when he is charging up an attack. Before you can land the final hit you have to activate Devil Trigger to get rid of Vergil's clone.

Sensational! You gained a SSS Style Rank during combat
Location: Mission 11 - The Order
Make sure to set your difficulty to human (easy) difficulty and start mission 11. In the very beginning you will have to fight several Stygians. Start with an Arbiter Tremor (R2+Circle on PS3 / RT+B on X360), followed by an Osiris Karma attack (L2+Triangle on PS3 / LT+Y on X360). Switch to the Aquila for a few strikes and you should already have the SSS bonus. Try to hit as many enemies as possible with every attack and avoid repeating the same move.
Restart the mission if all enemies die before you get the SSS Style Rank.

Where does the time go? Looks like it's your lucky day You completed a level in 2 minutes or less
You completed a level without taking any damageLocation: Mission 15 - The Trade
Mission 15 is very short and none of the enemies have to be fought. Cutscenes don't influence your total mission time. It doesn't matter if you watch or skip them. All you got to do in this mission is to clear the path for a car. When you encounter enemies just run past them and concentrate on the main objective. Make sure that you never fall down, it will cause you damage and you would have to restart the last checkpoint.